Help Please!!

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pantherz19914

New member
Joined
Dec 12, 2005
Messages
4
Problem:

YOUR AVERAGE SPEED DURING A TRIP IS 40 MILES PER HOUR. WRITE A LINEAR FUNCTION THAT MODELS THE DISTANCE YOU TRAVEL d(t) AS A FUNCTION OF t, THE TIME SPENT TRAVELING.
 
Have you done anything to start this problem? If so, please post your steps so far so that I can help you out from there.
 
Ok, good start, now is that the exact problem? Or did you leave something out?
 
ok, what you wrote down was good, but to be a bit more specific:
Average Speed= 40 mph
Time spent traveling= t
Distance traveled= d(t)

So, what are you being asked to do?
Actually you are being asked to write this out in a linear function. But, how are you supposed to do this with the information given?

Ok, well, we are trying to set the distance traveled (d(t)) equal in some way to a relation between time spent traveling and average speed. So, how do you find this? How would, given average speed and time spent traveling, you find out the distance traveled?

Well If I know how fast I am going and how long I am going for, let's say I am going 2 mph and am going to walk for 1 hour. I would find the distance traveled by multiplying my speed (2) by the length of time I spent walking (1). So, in short to find total distance traveled by using average speed and length of time traveleing said speed, you multiply the two together...

Can you figure it out from there?
 
One way to think of this is :

If you are going 40 miles per hour and you travel for one hour, how far have you gone? You have gone 40 miles. So, if you go 2 hours, you will have traveled 80 miles. Obviously, we are just multiplying the mph by the time (t) to get our distance traveled.

lol, If you can't figure it out from there, I don't know how else to say it.
 
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